Thermodynamics Question 308

A monatomic gas undergoes a process given by $ 2dU + 3dW = 0 $, then the process is

Options:

A) isobaric

B) adiabatic

C) isothermal

D) none of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ dQ=dU+dW=dU+\frac{2dU}{3}=\frac{5dU}{3} $

$ =\frac{1}{3}n{C _{\upsilon }}dT=\frac{1}{3}n\frac{3}{2}RdT=\frac{nRdT}{2} $

$ \Rightarrow $ $ C=\frac{1}{n}\cdot \frac{dQ}{dt}=\frac{R}{2} $

Which is not equal to 0, infinity or 5R/2.



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